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Accurate Calculations of Radial Expectations Values \(\varvec{\langle {r^{ - 2}}\rangle }\) for Confined Hydrogen-Like Atoms and Isotropic Harmonic Oscillator

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Abstract

By attaining an accuracy of 30 significant figures, in the present work we have calculated the expectation values of \(\langle {r^{ - 2}}\rangle \) of a few states for the confined hydrogen atom and the confined harmonic oscillator, as a function of the confinement radius \(R_{c}\). In comparison to other calculations reported in the literature, our results are found to be more accurate. This numerical precision was achieved by using the exact wave function of each system.

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Acknowledgements

The authors wish to thank A. Flores-Riveros and an anonymous referee for their valuable suggestions.

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  1. Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Av. San Rafael Atlixco 182, Col. Vicentina, 09340, Mexico City, Mexico

    N. Aquino & R. A. Rojas

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  1. N. Aquino
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  2. R. A. Rojas
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Aquino, N., Rojas, R.A. Accurate Calculations of Radial Expectations Values \(\varvec{\langle {r^{ - 2}}\rangle }\) for Confined Hydrogen-Like Atoms and Isotropic Harmonic Oscillator. Few-Body Syst 61, 16 (2020). https://doi.org/10.1007/s00601-020-01549-1

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